Answer:
It is not a right triangle,184.96 ≠ 148.84
Step-by-step explanation:
Definition of Pythagoras theorem:The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.
The formula is as follows:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Given, a= 6.4, b= 12, c= 12.2
Using the Pythagorean Theorem, [tex]a^{2} + b^{2} = c^{2}[/tex] ,you may determine if they form a right triangle:
[tex](6.4)^2 + (12)^2 = (12.2)^2[/tex]
40.96 + 144 = 148.84
184.96 ≠ 148.84
Therefore, this is not a right triangle.
To know about Pythagoras theorem here, https://brainly.com/question/343682
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Mark said he can decompose the fraction 5/6 into three fractions with three different numerators. Is this possible? Explain
Answer:
Yes possible
Step-by-step explanation:
Given is a fraction 5/6
We are to decompose it into 3 fractions with different numerators
First let us convert 5/6 into equivalent fraction as
[tex]\frac{5}{6} =\frac{1+4}{6} =\frac{1}{6} +\frac{2}{3}[/tex]
Let us break 2/3 into sum of two other fractions
[tex]\frac{2}{3} =\frac{6}{9} =\frac{2}{9}+\frac{4}{9}\\=\frac{2}{9}+\frac{8}{18}[/tex]
Thus we can write
5/6 = 1/6+2/9+8/18
as a sum of 3 fractions with different denominators.
Hence answer is possible.
Problems that equal 3r12
The question, from the Physics subject for a High School grade level, involves calculating the equivalent resistance of three identical resistors in parallel. The equivalent resistance in this scenario is one third of a single resistor, represented as R/3.
Explanation:The question is regarding the equivalent resistance when three resistors are used in comparison to a single resistor. In the context given, if it is three times easier for current to flow through three identical resistors (R) than through a single one, the equivalent resistance is R/3. This is because resistors in parallel share the current, and hence the total resistance is divided by the number of resistors in parallel, if they are identical.
For example, if the current through three resistors in parallel is I, each resistor carries a current of I/3, and if they are identical, that means each has a resistance R. Therefore, the total current I flows through a resistance R/3, which is one third of the resistance faced by the current in the case of a single resistor.
today pamela is on page 195. Fortomorrow's assignment she must read to page 237.ABOUT how many pages does she have left to read
When making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all?
She can make 48 cups juice
Further ExplanationOne variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex]\large{\boxed{\bold{ax=b}}[/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large{\boxed{\bold{ax+bx=c}}}[/tex]
x, y = variable
Let x = cups of concentrate
w = cups of water
Jackie used 5 times as much water as concentrate.If we translate this sentence into equation:
w = 5x .. equation 1
There were 32 more cups of water than concentrate.If we translate this sentence into equation:
w = 32+x .. equation 2
We can make a comparison from equation 1 and 2
[tex]\displaystyle \frac{water}{concentrate} =5[/tex]
[tex]\displaystyle \frac{32+x}{x} =5[/tex]
[tex]\displaystyle 32+x=5x[/tex]
[tex]\displaystyle 32=4x[/tex][tex]\large{\boxed{x=8\:cups}}[/tex]
so x = concentrate = 8 cups
then water :
[tex]\displaystyle water={5\times8}[/tex]
water = 40 cups
Total juice she can make :
= 40 + 8 cups
= 48 cups
Learn more
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Keywords : one variable, linear equation , juice, cups, concentrate, water
There are some hats in a box. 1/6 of them are red, 1/3 of blue, and 3/7 of the remainder are green. If there are 27 green hats, how many hats are there altogether
Dwayne is saving money so he can go to a professional soccer game. Dwayne has $10. He saves $15 a week
Graph a ray to represent the amount he saved over time.
Since this on graph where would I plot the dots at?
Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.
What is the equation that represents Emily’s situation?
A. y=−10x+150
B. y=110x+15
C. y = 10x + 150
D. y=−110x+15
Kens plan is y= -200x + 2400
How do I solve it?
y=2x+4
2x-y= 6
sovle the system of equations using substitution?
A. 2,8
B. 2,-8
C.10,24
D. no solutuin
Use the distributive property to find the product of 1/3 x 2 3/4
How can polygons be considered a subcategory of two-dimensional figures?
?$$??? What is the ratio of question marks to dollar signs?
Adam drew two same sized rectangles and divided them into the same number of equal parts he shaded one third of one rectangle and one fourth of the other rectangle what is the least number of Parts into which both rectangles could be divided?
A waffle recipe calls for 2 1/4 cups of flour if Chad wants to make 1 and 1/2 times the recipe how much flour does he need
just a quick question for fun........... a+12=10279 what's a?
The answer to this question is 10267.
Tyger uses brick which are 7cm tall to build a tower.His final tower is 26 bricks high.How many cm tall is it?
Emily called the post office to find out about the shipping tubes that she could buy there. The person helping her told her that the tubes had a surface area of 455.28 square inches and a radius of 4.2 inches. What is the height of the tube? A. 54.2 inches B. 50 inches C. 150 inches D. 100 inches
To find the height of the tube with a given surface area and radius, use the formula for the surface area of a cylinder and solve for height.
Explanation:The surface area of a cylinder (A) is given by the formula:
A = 2πrh + 2πr²
Given: A = 455.28 in², r = 4.2 in
Substitute the values and rearrange the formula to solve for h:
455.28 = 2π(4.2)h + 2π(4.2)²
Calculate the height, h, to find the answer.
The height of the tube is B. 50 inches.
Teresa sold t-shirts at a festival and made a profit of $75. She made $4 for each t-shirt she sold. Her total expenses were $25. How many t-shirts did she sell?
Write a rule for the linear function in the graph.
A. y = -4x + 13
B. y = -4x – 13
C. y = 4x – 13
D. y = 1/4x – 13
Answer: The correct option is (C) [tex]y=4x-13.[/tex]
Step-by-step explanation: We are given to write a rule for the linear function given in the graph.
Since the graph is a straight line, so we are to find the equation of the line to find the rule.
From the graph, we note that
the points (3, -1) and (4, 3) lie on the straight line.
So, the slope of the line will be
[tex]m=\dfrac{3-(-1)}{4-3}\\\\\\\Rightarrow m=4.[/tex]
Since the line passes through the point (4, 3), so the equation of the line is given by
[tex]y-3=m(x-4)\\\\\Rightarrow y-3=4(x-4)\\\\\Rightarrow y=4x-16+3\\\\\Rightarrow y=4x-13.[/tex]
Thus, the required rule for the linear function is
[tex]y=4x-13.[/tex]
Option (C) is correct.
b) the cost of another car is 8000. Find the monthly payment when the deposit is 2600
Answer:
The monthly payment would be £450.
Step-by-step explanation:
Given formula for the cost of buying a car,
Cost = 12 × monthly payment + deposit,
Here,
Cost of the car = £ 8000,
Deposit = £ 2600,
By substituting the values,
8000 = 12 × monthly payment + 2600
⇒ 12 × monthly payment = 8000 - 2600
⇒ 12 × monthly payment = 5400
⇒ Monthly payment = [tex]\frac{5400}{12}[/tex] = £450
Set up a proportion and solve. A car average 12 gallons of gasoline for each 420 miles driven. How much gasoline will it need for a 3,360 mile trip?
Marcus nan and olive each have 1.65 in their pockets they decide to combine the money how much how much money do they have altogether
12.32 divided by 22 estimate the quotient
Sarah is researching the connection between the time students spend watching television and their performance in school. Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5. Find k, the constant of variation, for this relationship.
A) 0.23
B) 4.29
C) 8.1
D) 52.5
Answer: D) 52.5
Step-by-step explanation:
The equation for inverse variation between two quantities x and y is given by :-
[tex]k=yx[/tex], where k is the constant of variation, for this relationship. (1)
Given : Sarah studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5.
Then from (1) the constant of variation is given by :-
[tex]k=15\times3.5=52.5[/tex]
Hence, the required answer is option D) 52.5 .
Final answer:
The constant of variation, k, for the inverse relationship between TV time and GPA, where 15 hours of TV results in a GPA of 3.5, is 52.5.
Explanation:
Sarah is researching the connection between the time students spend watching television and their performance in school, finding an inverse relationship between TV time and GPA. For a student who watched 15 hours of TV per week and has a GPA of 3.5, we can determine the constant of variation, k, in this inverse relationship.
The relationship can be represented as GPA = k / TV time. To find k, we plug in the known values: 3.5 = k / 15 hours. To solve for k, multiply both sides by 15: k = 3.5 × 15, which gives us k = 52.5.
Therefore, the constant of variation k for the inverse relationship between the time spent watching TV and GPA is 52.5.
write a real world problem that is represented by the division problem 38 ÷ 5 = 7 r3 in which it it it makes sense to round the quotient of 8
Answer: 38 and there would be more likely 1 less kid in each group
Step-by-step explanation:
What is 4 x 8 help please
The principal surveyed 200 students one what there favorite food is. The results showed that 125 of the students choose nachos as there favorite. What percentage of the students choose nachos? (PLEASE SHOW YOUR WORK)
21. 75% of ________ peaches is 15 peaches
75% of 20 peaches is 15 peaches. To find this, divide 15 by 0.75.
Explanation:To find the total number of peaches represented by 75%, you can divide the known amount (15 peaches) by 0.75. This is because 75% can be written as the decimal 0.75.
Dividing 15 peaches by 0.75 gives us:
15 ÷ 0.75 = 20 peaches
So, 75% of 20 peaches is 15 peaches.
To find the total number of peaches where 75% of them is 15 peaches, a proportion is set up and solved to discover that the total is 20 peaches.
Explanation:The question "21. 75% of ________ peaches is 15 peaches" is asking us to find the total number of peaches if 75% of that total is equivalent to 15 peaches. To solve this, we need to set up a proportion where 75% is to 15 peaches as 100% is to the total number of peaches. We represent the total number of peaches by the variable x.
Here is the proportion set up as an equation: 0.75 * x = 15. To find x, divide both sides of the equation by 0.75, which gives us x = 15 / 0.75. When we calculate this, we get x = 20. So, the total number of peaches is 20.
To check our work, we can confirm that 75% of 20 is indeed 15 by multiplying 20 by 0.75, which equals 15. Hence, the statement "21. 75% of 20 peaches is 15 peaches" is correct and answers the student's question.
a scale drawing of an automobile has a scale of 1 inch=1/2. foot. the actual width of the car is 8 feet what is the width on the scale drawing?
The width of the car on the scale drawing is 16 inches.
Explanation:To find the width of the car on the scale drawing, we can set up a proportion using the scale of the drawing and the actual width of the car.
The scale of the drawing is 1 inch = 1/2 foot. The actual width of the car is 8 feet. So the proportion is: x/1 inch = 8/1/2 foot.
To solve for x, we multiply both sides of the proportion by 1 inch: x = 8/1/2 inch. Simplifying the right side of the equation, we get x = 16 inches. Therefore, the width of the car on the scale drawing is 16 inches.
The width of the car on the scale drawing is 16 inches.
To find the width on the scale drawing, we need to use the scale provided in the question. The scale is given as 1 inch = 1/2 foot. This means that for every inch on the drawing, it represents 1/2 foot of the actual object.
Given that the actual width of the car is 8 feet, we need to convert this measurement to inches using the scale factor. Since 1 foot is equal to 12 inches, 1/2 foot is equal to 6 inches (because 12 inches / 2 = 6 inches).
Now, we can set up a proportion to find the width on the scale drawing:
[tex]\[ \frac{1 \text{ inch}}{1/2 \text{ foot}} = \frac{\text{width on drawing}}{8 \text{ feet}} \][/tex]
To solve for the width on the drawing, we multiply both sides of the equation by 8 feet: [tex]\[ \text{width on drawing} = \frac{1 \text{ inch}}{1/2 \text{ foot}} \times 8 \text{ feet} \][/tex]
Since 8 feet is equal to 16 halves of a foot (because 8 * 2 = 16), we can simplify the equation:
[tex]\[ \text{width on drawing} = 1 \text{ inch} \times 16 \][/tex]
[tex]\[ \text{width on drawing} = 16 \text{ inches} \][/tex]
Therefore, the width of the car on the scale drawing is 16 inches.
12 + 18x = 22x
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